When the multiple video sources are together transmitted through the channel of fixed bandwidth, the efficiently joint bandwidth allocation is necessary. This paper presents the joint bandwidth allocation method to keep the constant picture duality ratio among the video sources. We first find an approximated model of distortion and bitrate for the multiplexing system of multiple sources. Then we obtain the bitrate for each source to have constant distortion ratio among the sources by using the approximated model parameters for simple implementation. It is shown by simulation that the proposed bandwidth allocation can keep almost constant picture quality ratio among the sources in comparison to an independent bandwidth allocation method.